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2020•Advances in Pure MathematicsOpen access

Nonregular Boundary Value Problem for the Cauchy-Riemann Operator

Ibrahim Ly, Sadou Tao

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Abstract

The purpose of the research is to assign a formally exact elliptic complex of length two to the Cauchy-Riemann Operator. The Neumann problem for this complex in a bounded domain with smooth boundary in R2 will be studied, helping therefore to solve a usual boundary value problem for the Cauchy-Riemann operator.

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What this paper is about

The purpose of the research is to assign a formally exact elliptic complex of length two to the Cauchy-Riemann Operator. The Neumann problem for this complex in a bounded domain with smooth boundary in R2 will be studied, helping therefore to solve a usual boundary value problem for the Cauchy-Riemann operator.

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Available abstract

The purpose of the research is to assign a formally exact elliptic complex of length two to the Cauchy-Riemann Operator. The Neumann problem for this complex in a bounded domain with smooth boundary in R2 will be studied, helping therefore to solve a usual boundary value problem for the Cauchy-Riemann operator.

Key concepts: Mathematics, Cauchy–Riemann equations, Cauchy boundary condition, Operator (biology), Bounded function, Boundary value problem, Cauchy distribution, Cauchy problem

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